Question

Chapter 2, Problem 2/108 The sphere Ptravels in a straight line with speed v-9.7 m/s. For the instant depicted, determine the corresponding values of r and θ as measured relative to the fixed Oxy coordinate system. 5.0 m 4.0 m 0 Answers: m/s rad/s

1 0
Add a comment Improve this question Transcribed image text
Answer #1

Given,

v = 9.7 m/s

theta = tan^-1(4/5) = 38.66 deg

angle = 90 - theta - 31 = 20.34 deg

vr = -v cos(angle) = -9.7 x cos20.34 = -9.1 m/s

v(theta) = -9.7 sin20.34 = -3.37 m/s

theta = v(theta)/sqrt (4^2 + 5^2) = -3.37/6.4 = - 0.527 rad/s

Add a comment
Know the answer?
Add Answer to:
Chapter 2, Problem 2/108 The sphere Ptravels in a straight line with speed v-9.7 m/s. For...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Find r (double dot) and theta (double dot). The sphere P travels in a straight line...

    Find r (double dot) and theta (double dot). The sphere P travels in a straight line with a constant speed v = 13.1 m/s. For the instant depicted, determine the corresponding values of P and 8 as measured relative to the fixed Oxy coordinate system. - 5.0m- 4.0 m - - - - --- ----エ ーx Answers: f = 1127 Jm/s? ö = 0.507 Irad/s2

  • Chapter 2, Problem 2/160 GO Tutorial At the instant illustrated, car B has a speed of...

    Chapter 2, Problem 2/160 GO Tutorial At the instant illustrated, car B has a speed of 28 km/h and car A has a speed of 34 km/h. Determine the values of r and for this instant where r and 6 are measured relative to a longitudinal axis fixed to the road of car B as indicated in the figure. A VA 450 х 270 80 m ө 104 m UB B Answers: m/s 0 - rad/s

  • o SRLEN PRINTER VERSTONE BACK NEXT H A helicopter starts from rest at point A and travels along the straight-line p...

    o SRLEN PRINTER VERSTONE BACK NEXT H A helicopter starts from rest at point A and travels along the straight-line path with a constant acceleration a. If the speed v 39 m/s when the alttude of the helicopter is h31 m, determine the values of r, F, 8, and 0 as measured by the tracking device at O. At this instant, 8-34, and the distance d 140 m. Neglect the small height of the tracking device above the ground. th...

  • A helicopter starts from rest at point A and travels along the straight-line path with a...

    A helicopter starts from rest at point A and travels along the straight-line path with a constant acceleration a. If the speed v = 33 m/s when the altitude of the helicopter is h = 44 m, determine the values of r, i, o, and as measured by the tracking device at O. At this instant, 0 = 38°, and the distance d = 159 m. Neglect the small height of the tracking device above the ground. ih А d...

  • 2. A small box of mass m is kept on a fixed, smooth sphere of radius...

    2. A small box of mass m is kept on a fixed, smooth sphere of radius R at a position where the radius through the box makes an angle of 30° with the vertical. The box is released from the position. (a) What is the force exerted by the sphere on the box just after the release? (b) Find the distance travelled by the box before it leaves contact with the sphere. 3. A particle is suspended from a fixed...

  • The drag racer P starts from rest at the start line S and then accelerates along...

    The drag racer P starts from rest at the start line S and then accelerates along the track. When it has traveled 112 m, its speed is 50 m/s and it is accelerating forward at 10.0 m/s2. For that instant, determine the values of r and θ relative to axes fixed to an observer o in the grandstand G as shown. 歇一 36 m 0

  • 4. A particle is moving along a straight line through a fluid medium such that its speed is measured as v (2t) m/s,...

    4. A particle is moving along a straight line through a fluid medium such that its speed is measured as v (2t) m/s, where t is in seconds. If it is released from rest at s 0 determine its positions and acceleration when t 3 s. a) s 2 m, a 9 m/s2 c) S 18 m, a 2 m/s2 d) s 2 m, a 18 m/s2 5. A driver accelerates at a rate of a(S)-0.2 S. If the driver...

  • Chapter 2, Problem 2/153 (video solution to similar problem attached) At the bottom of a loop...

    Chapter 2, Problem 2/153 (video solution to similar problem attached) At the bottom of a loop in the vertical (r, θ) plane at an altitude of 390 m, the airplane P has a horizontal velocity of 700 km/h and no horizontal acceleration. The radius of curvature of the loop is 1255 m. For the radar tracking at o, determine the recorded values of r and θ for this instant. 700 km/h 390 m 1095 m Answers: m/s2 rad/s2

  • Chapter 2, Problem 2/125 At the bottom of a loop in the vertical (r, θ) plane...

    Chapter 2, Problem 2/125 At the bottom of a loop in the vertical (r, θ) plane at an altitude of 495 m, the airplane P has a horizontal velocity of 625 km/h and no horizontal acceleration. The radius of curvature of the loop is 1045 m. For the radar tracking at O, determine the recorded values of r and θ for this instant. 625 km/h 495 m 1040 m Answers: m/s2 rad/s2

  • 45 25 m/s 1.5 m/s Car A travels along a straight road at a speed of...

    45 25 m/s 1.5 m/s Car A travels along a straight road at a speed of 25 m/s while accelerating at 15 m/s. At this same instant car C is traveling along the straight road with a speed of 30 m/s while decelerating at 3 m/s?.Determine the velocity = 100 m 3 m/s 30° and acceleration of car A relative to car C. 2 m/s 30 m/s 15 m/s

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT